Answer
$= \log (\frac{x(x-2)}{15})$
Work Step by Step
$= \log x + \log(x^{2}-4)-\log 15 - \log(x+2)$
$= \log (x(x^{2} -4))-\log 15 - \log(x+2)$
$= \log (\frac{x(x^{2}-4)}{15})- \log(x+2)$
$= \log (\frac{x(x^{2}-4)}{15(x+2)})$
$= \log (\frac{x(x-2)(x+2)}{15(x+2)})$
$= \log (\frac{x(x-2)}{15})$